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245635320 = 23357319433
BaseRepresentation
bin11101010010000…
…01100011111000
3122010012120022110
432221001203320
51000340312240
640212452320
76041602650
oct1651014370
9563176273
10245635320
111167224a7
126a31a0a0
133bb74b58
14248a1360
1516870c80
hexea418f8

245635320 has 128 divisors (see below), whose sum is σ = 869437440. Its totient is φ = 54328320.

The previous prime is 245635303. The next prime is 245635321. The reversal of 245635320 is 23536542.

245635320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245635321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21324 + ... + 30756.

It is an arithmetic number, because the mean of its divisors is an integer number (6792480).

Almost surely, 2245635320 is an apocalyptic number.

245635320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245635320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434718720).

245635320 is an abundant number, since it is smaller than the sum of its proper divisors (623802120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245635320 is a wasteful number, since it uses less digits than its factorization.

245635320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 245635320 is about 15672.7572558245. The cubic root of 245635320 is about 626.2728789535.

The spelling of 245635320 in words is "two hundred forty-five million, six hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 9433 13020 18866 26040 28299 37732 47165 56598 66031 75464 94330 113196 132062 141495 188660 198093 226392 264124 282990 292423 330155 377320 396186 528248 565980 584846 660310 792372 877269 990465 1131960 1169692 1320620 1462115 1584744 1754538 1980930 2046961 2339384 2641240 2924230 3509076 3961860 4093922 4386345 5848460 6140883 7018152 7923720 8187844 8772690 10234805 11696920 12281766 16375688 17545380 20469610 24563532 30704415 35090760 40939220 49127064 61408830 81878440 122817660 245635320